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Simran Bhatia Grade: 11
        1. The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

a. 1.086 : 1
b. 1 : 1.086
c. 2 : 1.086
d. 1.086 : 2
3 years ago

Answers : (1)

Kevin Nash
askIITians Faculty
332 Points
										Sol. The two types of speeds are defined as;

Root mean square speed (urms) = √(3RT/M)
Average speed (uavg) = √(8RT/πM)
For the same gas, at a given temperature, M and T are same, therefore
u_rms/u_avg = √(3RT/M) ∶ √(8RT/πM)
= √3 ∶ √(8/π )= √3 ∶ √2.54=1.085∶1
3 years ago
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